In a certain Algebra 2 class of 26 students, 16 of them play basketball and 9 of them
play baseball. There are 5 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?

Answers

Answer 1

Answer:

.7692307692 or 10/26

Step-by-step explanation:

You solve this problem by finding the total number of sports playing students and dividing it by the total, in this case 26. Since we know there are 5 students that play both sports, you subtract that 5 from the total number of basketball plyers and baseball players, so 16-5=11 and 9-5=4, then add those together, so 11+4=15. From there you add back in the students that play both which is 5, so 15+5=20. 20/26 is your answer.


Related Questions

24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70​

Answers

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

B. P37.70

V
On March 8, 2017, one U.S. dollar was worth 66.79 Indian rupees.
(a) On that date, how many dollars was 110.66 rupees worth?
Round your answer to the nearest hundredth of a dollar.
dollars
(b) On that date, how many rupees was 125.29 dollars worth?
Round your answer to the nearest hundredth of a rupee.
I need help with this problem.

Answers

Answer:

a=1.66

b=8368.12

Step-by-step explanation:

hope it helps

THE LENGTH OF A PAINTING OF A TREE IS 2/9 OF THE LENGTH OF THE ACTUAL TREE. IF THE LENGTH OF THE PAINTING OF THE TREE IS 16 INCHES, WHAT IS THE LENGTH IN INCHES OF THE ACTUAL TREE

Answers

The length of the actual tree will be 72 inches.

Fraction is the portion of a total amount where the above part of the fraction is the denominator and the bottom part of the fraction is called the numerator.

The equation whose highest degree of the variable is 1 is called a linear equation.

Here given that the length of a painting of the tree is 2/9 of the actual length of the tree.

So mathematically the length of a painting= (2/9)*the length of actual tree

Let the length of the actual tree is x

then from above it is clear that the length of a painting of the tree= (2/9)x

Given the length of the painting is 16 inches.

So the linear equation will be (2/9)x= 16

⇒ x= 16/(2/9)

⇒x= 16*9/2

⇒x=72 inches

Therefore the length of the actual tree will be 72 inches.

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find the value of x y and z?​

Answers

Answer:

Step-by-step explanation:

This is part A to one of my questions to help answer the second one, the second question is posted if anyone can help

Answers

Answer:

Step-by-step explanation:

Part A: Since 400 is being multiplied 1.06^t, for it to be equal to 399 the value 1.06^t must be less than 1. The lowest value for t given the domain restriction is 0 which would only result in 1 which will given the initial amount of 400. t would need to be less than 0 for 1.06^t to start going below the value 1 but since there is a domain restriction since t represents time, that value cannot go below 400 to reach 399.

Use the moving and additivity principles to explain and she weighs why the next triangle has an area of 1/2 (b*h) Square units for the given choices of B and H. One! If it naturally with the expression b*(1/2h) and the other should fit naturally with the expression 1/2(b*h)

Answers

Answer: The given triangles have an area [tex]1/2[/tex] × [tex]base[/tex] × [tex]height[/tex]

Step-by-step explanation:

The moving principle states that if you move a shape rigidly without stretching it the area does not change whereas the additivity principle states that if you combine different shapes without overlapping them then the area is the cumulative sum of each of the figures.

Since both, the principle will give out the same answers. the arrangement for the expression can be manipulated also.

For the first triangle applying the moving principle gives,

Area  [tex]=[/tex] [tex]b[/tex] × [tex](\frac{1}{2}[/tex] · [tex]h)[/tex]

For the second triangle applying the additivity principle,

Area [tex]=\frac{1}{2}[/tex] ([tex]b[/tex] · [tex]h[/tex])

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Help me to solve this answer below :((!!!

Answers

Answer:

3/2+1/2+17/2=21/2

Answer: 21/2 hours or 10 1/2 hours

Step-by-step explanation:

To find out the total number of hours needed for all activities scheduled for the day, simply add the needed hours for each activity.

You just need to add them because they have the same denominator.

3/2 for homework

1/2 for home chores

17/2 for sleep

[tex]\frac{3}{2} + \frac{1}{2} + \frac{17}{2} = \frac{21}{2}[/tex] hours

what is the value of the fourth term in a geometric sequence for which a1=10 and r =0.5

Answers

Answer: 1.25

Step-by-step explanation:

The explicit formula for the sequence is [tex]a_{n}=10(0.5)^{n-1}[/tex]

Substituting in n=4,

[tex]a_{4}=10(0.5)^{4-1}=\boxed{1.25}[/tex]

If 3x − 6 ≤ f(x) ≤ x2 − 3x + 3 for x ≥ 0, find lim x→3 f(x).

Answers

Answer:

Step-by-step explanation:

How much acetic acid is in a 5 - liter container of acetic acid and water that is marked 80% acetic acid ? How much is water ?

Answers

I think the question ur asking is what’s the volume of water?? If so then the volume of water is 1L


a telephone company charges $0.98 for the first minute, $0.82 for each additional minute, and a$1.56 service charge if the cost is 11.56 how long did the person talk

Answers

Answer:

12 minutes

Step-by-step explanation:

added in the picture

The function f(x)=5(x−1) is shown on the coordinate plane.
Select from the drop-down menus to correctly describe the end behavior of ​f(x)​.

As x decreases without bound, the graph of f(x) ______
1. approaches y=0
2. increases without bond
3. decreases without bond

As x increases without bound, the graph of f(x) ______
1. approaches y=0
2. increases without bond
3. decreases without bond

Answers

As x decreases without bound, the graph of f(x)  approaches y = 0

As x increases without bound, the graph of f(x)  increases without bound

What is Function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

f(x)=5^(x−1)

When x -> -∞

[tex]lim_{ x- > -\infty.[/tex] f(x)= 5 ^(x-1) = 0

When x -> ∞

[tex]lim_{ x- > \infty.[/tex] f(x)= 5 ^(x-1) =

Hence,

As x decreases without bound, the graph of f(x) approaches y = 0

As x increases without bound, the graph of  f(x) increases without bound

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A carpet installer charges a flat rate of $40 + $1.50 per square foot for labor so the total cost for the labor depends on the amount of carpet installed the relationship between the total cost for labor and the amount of corporate installed is the domain of the relation is the range of the relation is

Answers

The domain of the linear function is (1.5, ∞) and the range of the linear function will be (40, ∞).

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

A carpet installer charges a flat rate of $40 and $1.50 per square foot for labor.

So the total cost for the labor depends on the amount of carpet installed, the relationship between the total cost for labor and the amount of corporate installed.

Then the domain of the relation is the range of the relation will be

Let y be the total amount and x be the number of square foot.

y = 1.5x + 40

Then the domain of the linear function is (1.5, ∞) and the range of the linear function will be (40, ∞).

The graph is given below.

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what is the 10th term for sequence 4; 8; 13; 19; 26​

Answers

Answer:

40

Step-by-step explanation:

Dakota has four yardsticks and two 12-inch rulers.If she lays all four of the yardsticks and both rulers end-to-end,what is the maximum number of feet she can measure accurately at once? PLEASE EXPLAIN
E.12 ft
F.14ft
G.16 ft
H.!8ft

Answers

Answer:

[tex]\huge\boxed{\sf 14\ ft}[/tex]

Step-by-step explanation:

Yard sticks = 4

12-inch rulers = 2

All are placed end to end.

Converting yard and inch to feet:4 yardsticks into feets:

We know that,

1 yard = 3 feet

4 yards = 3 × 4 feet

4 yards = 12 feet

2 12-inch ruler into feet:

We know that:

1 inch = 0.083 feet

24 inch = 0.083 × 24 feet

24 inch = 2 feet

The maximum number of feet she can measure exactly:

= 4 yardsticks + 2 12-inch rules

= 12 ft + 2 ft

= 14 ft

[tex]\rule[225]{225}{2}[/tex]

which terms could have the greatest common factor of 5m2n2? select two:
m5n5
5m4n3
10m4n
15m2n2
24m3n4

Answers

Answer:

5m4n3 and 15m2n2

Step-by-step explanation:

you just have to find the 2 that each are divisible by 5m2n2, which are 5m4n3 and 15m2n2.

An 8-pack of clay pots costs $15.76. What is the unit price?

Answers

Here
Clay pots =8
Price =$15.76
Then unit price =15.6/8
=$1.95

evaluate-4x + 2y - z if x = - 2, y = 3, and z = -4

Answers

Answer:

-4(-2)+2(3)-(-4)

8+6+4

16 is the answers

Step-by-step explanation:

please mark me as brainlest

I need to use factorial the! When you use the binomial probability formula and I need to show step-by-step for for a through c


Given the number of trials and the probability of success, determine the probability indicated: (Hint use binomial distribution formula use factorials ! in showing your work)

n = 15, p = 0.4, find P(4 successes)
n = 12, p = 0.2, find P(2 success )
n = 20, p = 0.05, find P(at most 3 successes)

(hint for c.
P (at most 3 successes) = P(x ≤3)= P(x= 0) + P(x = 1)+ P(x = 2)+ P(x = 3)


Answers

Using the binomial distribution, it is found that the probabilities are:

P(X = 4) = 0.1268.P(X = 2) = 0.2835.[tex]P(X \leq 3) = 0.9841[/tex]

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

Exercise 1:

The parameters are:

n = 15, p = 0.4, x = 4.

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{15,4}.(0.4)^{4}.(0.6)^{11} = 0.1228[/tex]

Exercise 2:

The parameters are:

n = 12, p = 0.2, x = 2.

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{12,2}.(0.2)^{2}.(0.8)^{10} = 0.2835[/tex]

Exercise 3:

The parameters are:

n = 20, p = 0.05.

The probability is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Using the binomial formula for each value and adding them:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9841[/tex]

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Which expression is equivalent to (1−sinβ)(1+sinβ)/cos2β for all values of β for which (1−sinβ)(1+sinβ)/cos2β is defined?
Select the correct answer below:

tan2β
tanβ+secβ
tanβ
sec2β
1

Answers

Answer: Choice E)  1

Work Shown:

[tex]\frac{(1-\sin(\beta))(1+\sin(\beta))}{\cos^2(\beta)}\\\\\frac{1-\sin^2(\beta)}{\cos^2(\beta)}\\\\\frac{\cos^2(\beta)}{\cos^2(\beta)}\\\\1\\\\[/tex]

Therefore, [tex]\frac{(1-\sin(\beta))(1+\sin(\beta))}{\cos^2(\beta)}=1\\\\[/tex] is an identity for all values of β for which the original expression is defined. I used the difference of squares rule for the 2nd step. Then I applied the pythagorean trig identity for the 3rd step.

Fill in the blanks find P A And si

Answers

The answer will be Rs. 4330.

Step-by-step explanation:

Because if you subtract 340 from 4670, you will get the answer which is 4330.

Given statements:
If a shape is a parallelogram, then opposite angles are congruent.
. A rhombus is a parallelogram.
Which is a logical conclusion from the given statements?
O A rhombus has opposite angles that are congruent.
O The opposite sides of a rhombus are congruent.
O The diagonals of a rhombus are congruent.
O A rhombus is a quadrilateral.

Answers

The logical conclusion from the statement is that

B. The opposite sides of a rhombus are congruent.

How to deduce the information?

From the information given, if shape is a parallelogram, then opposite angles are congruent.

In this case, since the rhombus is a parallelogram, then the opposite sides of a rhombus are congruent.

In conclusion, the correct option is B.

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If the volume of the pyramid is 192 yd³; and the area of the base is 64 yd², what is the height measured in yards?

Answers

Answer:

177

Step-by-step explanation:

Part B
Assume the statement is true for n=k. Prove that it must be true for n=k+1, therefore proving it true for all natural
numbers, n.
Hint: Since the total number of dots increases by n each time, prove that d (k) + (k+1)=d (k+ 1).

Answers

The inductive step is assuming that the statement is true for some  n = k , where  k  is one of the values we want to prove the statement for, it shows that it is also true for  n = k+1.

How to carry out Mathematical Induction?

Suppose we have the statement 3n > 4n for all positive integers  n.

Now, the statement above is false when n = 1 , since 3 is less than 4. However, it will be true for all other positive integers.

In that case, we can still prove this statement by induction for all integers  n ≥ 2 .

Thus, the inductive step is assuming that the statement is true for some  n = k , where  k  is one of the values we want to prove the statement for, it shows that it is also true for  n = k+1.

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Write and solve an inequality that means a number plus six is less than or equal to twenty-four.​

Answers

Answer:

Inequality:  x + 6 ≤ 24

Solution:  x ≤ 18

Step-by-step explanation:

Plus:  "+" →  to add something to something else

Less than or equal to:  "≤" → the expression on the left side of the inequality sign is smaller than the expression on the right side of the sign.

Let x be the unknown number.

A number plus 6 is less than or equal to twenty-four:

x + 6 ≤ 24

To solve the found inequality, subtract 6 from both sides:

⇒ x + 6 - 6 ≤ 24 - 6

⇒ x ≤ 18

Therefore, the solution to the inequality is x ≤ 18.  The unknown number x can be any real number equal to or less than 18.

No be n

n+6≤24

Solve

n≤24-6n≤18

Solution set

(-oo,18]

If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are ________ different salaries.

Answers

Both are not earning different salaries.

If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are not earning different salaries.
Study determines that there is not any significant study so thats why both are not earning.


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which of the following would be an acceptable first step in simplifying the expression tan^x/1+sec^x

Answers

The first step is replacing the given trigonometric functions by simpler ones and then taking the product of the denominators.

Which is the first step to simplifying the given expression?

Here we have the expression:

[tex]\frac{tan(x)}{1 + sec(x)}[/tex]

Remember that:

[tex]tan(x) = \frac{sin(x)}{cos(x)}\\ \\sec(x) = \frac{1}{cos(x)}[/tex]

Replacing that would be the "step zero", we can write:

[tex]\frac{tan(x)}{1 + sec(x)} = tan(x)*\frac{1}{1 + sec(x)} = \frac{sin(x)}{cos(x)} \frac{1}{1 + \frac{1}{cos(x)} }[/tex]

The first step to simplify this, is taking the product between the denominators:

[tex]\frac{sin(x)}{cos(x)} \frac{1}{1 + \frac{1}{cos(x)} } = sin(x)*\frac{1}{cos(x) + \frac{cos(x)} {cos(x)} } = \frac{sin(x)}{cos(x) + 1}[/tex]

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Answer:

tanx(1-secx)/(1+secx)(1-secx)

Step-by-step explanation:

aP E

7
2
3
Mark this and return
f(x)
The functions f(x) and g(x) are graphed.
3
-6-5-4-3-2-1₁-
"AssessmentViewer(Ant
N
5
-2+
-3-
6
g(x)
7
2 3 4 5 6 x
8
Which represents where f(x) = g(x)?
Of(2)= g(2) and f(0) = g(0)
f(2)= g(0) and f(0) = g(4)
Of(2)= g(0) and f(4) = g(2)
Of(2)= g(4) and f(1) = g(1)
Save and Exit

Answers

Answer: Option 1

Step-by-step explanation:

The graphs intersect at x=0 and x=2, meaning f(2)=g(2) and f(0)=g(0).

The functions have the intersecting points at x = 2 and x = 0 and the relation is f ( 0 ) = g ( 0 ) and f ( 2 ) = g ( 2 )

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the first function be represented as f ( x )

Let the second function be represented as g ( x )

Now , the function f ( x ) is a parabolic function and g ( x ) is a linear function

And , the intersecting points of both f ( x ) and g ( x ) are

x = 2 and x = 0

So , both the functions f(x) and g(x) intersect at two points, one at x = 2 at the x-axis in the graph and one at y = 4 at y-axis of the graph

Therefore , f ( 0 ) = g ( 0 ) and f ( 2 ) = g ( 2 )

Hence , the functions are solved

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Timothy is an hourly employee and he can work maximum of 40 hours in a week. If the weekly salary depends on the number of hours (h) worked, what will be the domain of the function in this context?

a. h < 40, h ∈ Z
b. h ≥ 0, h ∈ R
c. 0 ≤ h ≤ 40, h ∈ R
d. h ≤ 40, h ∈ R

Answers

Answer:

C

Step-by-step explanation:

 0 ≤ h ≤ 40, h ∈ R

Hope this helps :)

Determine whether each ordered pair is a solution to the inequality x+5y<2.



Select all that apply:

(−8,−1)
(−1,0)
(4,2)
(9,6)
(0,10)

Answers

Two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

Given inequality is:-

x + 5y  <  2.

We will check all the points for the inequality:-

(−8,−1) →  x + 5y  <  2.  →  -8 +(5 x -1) < 2  →  -13 < 2 It is inequality

(−1,0)   → x + 5y  <  2   →   -1 < 2 It is inequality

(4,2)    → x + 5y  <  2   →    14 < 2  wrong

(9,6)    → x + 5y  <  2   →    39 < 2 wrong

(0,10)  →  x + 5y  <  2  →    50 < 2 wrong

Therefore the two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.

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How and why is the elastic clause the basis for Congress's implied powers?OA The elastic clause gives Congress the power to make all "necessary and proper" laws, but only in areas that the framersspecifically enumerated in the Constitution.OB. The elastic clause and the statement about "necessary and proper" laws were written by the framers so that there would be noquestion as to what Congress can and cannot do.OC. The elastic clause gives Congress the power to make all necessary and proper laws because the framers did not trust a poor,uneducated electorate to understand lawmaking.O.D. The elastic clause gives Congress the power to make all necessary and proper laws because the framers wanted Congress tohave the power needed to face situations they could not foresee. Figure ABCD is transformed to obtain figure ABCD:DIAGRAM INCLUDED! 100 Points!Part A: Write the sequence of transformations that changes figure ABCD to figure ABCD. 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Multiple choice question a) The main center of the British East India company was______. i) Madras ii) Surat iii) Bombay iv) Delhi b) In AD __________ British East India Company received exclusive rights from Queen Elizabeth to trade with India. i) AD 1600 ii) AD 1608 iii) AD 1613 iv) AD 1614 c) The Diwani of which of these was not granted to the British by the Mughal Emperor i) Bengal ii) Awadh iii) Bihar iv) Punjab d) The system of Subsidiary Alliance was introduced by the Governor General_________. i) Lord Wellesley ii) Lord Dalhousie iii) Warren Hastings iv) Lord Irwin e) The Battle of Plassey was fought between-___________. i) Mir Quasim and the British ii) Siraj-ud-daulah and the British iii) Shah Alam and the British iv) Shuja ud-daulah and the British f) When was the battle of Plassey fought? i) 1767 ii) 1757 iii) 1777 iv) 1781 g) In which year Maharaja Ranjit singh died? i) 1739 ii) 1888 iii) 1839 iv) 1939 h) Name the system introduced by Lord Dalhousie? i) Subsidiary System ii) Direct Annexation iii) Doctrine Of Lapse iv) On the Pretext Of Misgovernment i) Who were the last Europeans to come to India? i) Portuguese ii) British iii) French iv) Dutch j) Which British officer has been compared with Akbar The Great? i) Lord Mountbatten ii) Lord Dalhousie iii) William Benticks iv) Lord Wellesely What is the magnetic force on a proton that is moving at 5.2 x 107 m/s to theright through a magnetic field that is 1.4 T and pointing away from you? Thecharge on a proton is 1.6 10-19 C. Use F = qvx B sin(e) The pH can be calculated using the equation pH = log(H+), where H+ is the hydronium ion concentration. Find the hydronium ion concentration of a particular soda if the pH level is 2.3. ________ million americans live in poverty.Group of answer choices21.333.339.143.1100 Which choices are in the solution set of the inequality below? Check all thatapply.18x> 45A. 3B. 2c.-13D. 5E. 2.5F. 9 Read the excerpt from Up from Slavery by Booker T. WashingtonI do not believe that any state should make a law that permits an ignorant and poverty-stricken white man to vote, and prevents a black man in the same condition from voting. Such a law is not only unjust, but it will react, as all unjust laws do, in time; for the effect of such a law is to encourage the Negro to secure education and property, and at the same time it encourages the white man to remain in ignorance and poverty.What is the authors main claim?Voting laws that are not enacted equally are unfair. Unfair laws encourage people to seek higher education.States should prohibit people from voting if they live in poverty or are uneducated.States should not make laws allowing White men to vote while preventing Black men from voting. Why do some codons code for the sameamino acid as another codon?A. It is due to mutations.B. There are only 20 amino acids and 64 possiblecombinations.C. Each codon is unique and they all code for differentamino acids. How do the data in figure 1 extend the information in Jacksons article Chemical bonds are formed when valence electrons are: Please help asap! 30 pointsGiven that f(x)=11, g(x)=x^2-6x+3, and h(x)= -x+4, find the function (g h)(x). debbie is a cook in a restaurant that is open 6 days a week. she is responsible for recording and monitoring the amount of money she spends on food. in the summer she uses an average of 9 loaves and bread per day.